Stability for thermoelastic plates with two temperatures

Quintanilla, Ramón; Racke, Reinhard

Stability for thermoelastic plates with two temperatures

Files

Quintanilla_0-388104.pdf(372.55 KB)

Date

2017

Authors

Quintanilla, Ramón

Racke, Reinhard

Series

Konstanzer Schriften in Mathematik; 356

Publication type

Working Paper/Technical Report

Publication status

Published

Abstract

We investigate the well-posedness, the exponential stability, or the lack thereof, of thermoelastic systems in materials where, in contrast to classical thermoelastic models for Kirchhoff type plates, two temperatures are involved, related by an elliptic equation. The arising initial boundary value problems for different boundary conditions deal with systems of partial differential equations involving Schrödinger like equations, hyperbolic and elliptic equations, which have a different character compared to the classical one with the usual single temperature. Depending on the model -- with Fourier or with Cattaneo type heat conduction -- we obtain exponential resp. non-exponential stability, thus providing another examples where the change from Fourier's to Cattaneo's law leads to a loss of exponential stability.

Subject (DDC)

510 Mathematics

Cite This

ISO 690

QUINTANILLA, Ramón, Reinhard RACKE, 2017. Stability for thermoelastic plates with two temperatures

BibTex

@techreport{Quintanilla2017Stabi-36867,
  year={2017},
  series={Konstanzer Schriften in Mathematik},
  title={Stability for thermoelastic plates with two temperatures},
  number={356},
  author={Quintanilla, Ramón and Racke, Reinhard}
}

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